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Finding the Fourth Proportional to 10,692.42, 16,041.87 and 4,847.46

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Solution

The fourth proportional to 10,692.42, 16,041.87 and 4,847.46 is: 7,272.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,692.42 : 16,041.87 = 4,847.46 : x
  2. Step 2: Convert to fraction form
    10,692.42/16,041.87 = 4,847.46/x
  3. Step 3: Cross multiply
    10,692.42x = 16,041.87 × 4,847.46
  4. Step 4: Simplify right side
    10,692.42x = 77,762,323.15
  5. Step 5: Solve for x
    x = 77,762,323.15/10,692.42
  6. Step 6: Final answer
    x = 7,272.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.